A triangle has two sides measuring 10 cm and 24 cm. The angle between these two sides is 60 degrees. Calculate the area of the triangle. Use the formula for the area of a triangle:
$$ ext{Area} =\frac{1}{2}ab imes ext{sin}( heta)$$
where $a$ and $b$ are the lengths of the sides and $ heta$ is the angle between them.